The number of all possible matrices of order 3 \times 3 with each entry 0 or 1 is.
A. 27
B. 18
C. 81
D. 512
The number of all possible matrices of order 3 \times 3 with each entry 0 or 1 is.
A. 27
B. 18
C. 81
D. 512

A matrix of order 3 \times 3 has 9 elements. Now each element can be 0 or 1 .
\therefore 9 places can be filled up in 2^{9} ways
required number of matrices =2^{9}

    \[\begin{array}{l} =2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \\ =512 \end{array}\]

\therefore (D) is correct answer.
A matrix of order 3 \times 3 has 9 elements. Now each element can be 0 or 1 . \therefore 9 places can be filled up in 2^{9} ways required number of matrices =2^{9}

    \[=2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2\]

=512,
\therefore (D) is correct answer.